135360 has 84 divisors (see below), whose sum is σ = 475488. Its totient is φ = 35328.

The previous prime is 135353. The next prime is 135367. The reversal of 135360 is 63531.

It is an interprime number because it is at equal distance from previous prime (135353) and next prime (135367).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (135367) by changing a digit.

135360 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2857 + ... + 2903.

2¹³⁵³⁶⁰ is an apocalyptic number.

135360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237744).

135360 is an abundant number, since it is smaller than the sum of its proper divisors (340128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135360 is a wasteful number, since it uses less digits than its factorization.

135360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 135360 is about 367.9130332021. The cubic root of 135360 is about 51.3448372861.

Adding to 135360 its reverse (63531), we get a palindrome (198891).

The spelling of 135360 in words is "one hundred thirty-five thousand, three hundred sixty".